Greatest Common Factor of 610/83, 427/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 610/83, 427/128

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 610/83,427/128

Given fractions are 610/83,427/128

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 610,427

Greatest Common Factor of Numerators i.e. GCF of 610,427 is 61 .

LCM of Denominators means LCM of 83,128 as per the given fractions.

LCM of 83,128 is 10624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 610,427

GCF of Fractions 610/83,427/128 is 61/10624

61 610, 427
10, 7

∴ So the GCF of the given numbers is 61 = 61

Greatest Common Factor of 610,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,427 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 610,427 . The biggest common factor number is the GCF number.
So the greatest common factor 610,427 is 61.

Lets's calculate LCM of 83,128

Given numbers has no common factors except 1. So, there LCM is their product i.e 10624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/10624

Therefore, the GCF of Fractions 610/83,427/128 is 61/10624

Least Common Multiple of 83,128 with GCF Formula

Least Common Multiple of 83,128 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 83,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,128) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,128) x common factors =1 x 1 = 1

LCM(83,128) = ( 83 × 128 ) / 1

LCM(83,128) = 10624 / 1

LCM(83,128) = 10624


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 610/83, 427/128

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 610/83, 427/128?

Answer: GCF of Numerators as per given numbers 610/83, 427/128 is

GCF of Numerators i.e. for 610,427 is 61

LCM of denominators i.e. for 83,128 is 10624.

Thus, GCF of Fractions is 61/10624.Finally, GCF of Fractions for 610/83, 427/128 is 61/10624.